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Palindromic sequences (Posted on 2005-10-31)

1,1
1,2,1
1,3,2,3,1
1,4,3,2,3,4,1
1,5,4,3,5,2,5,3,4,5,1
1,6,5,4,3,5,2,5,3,4,5,6,1

What are the next several lines and how are they formed?

Do the sequences have any special feature?

Does the pattern continue indefinitely?

See The Solution Submitted by Bob Smith

Rating: 3.7143 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Next two lines

| Comment 13 of 16 |

1,1
1,2,1
1,3,2,3,1
1,4,3,2,3,4,1
1,5,4,3,5,2,5,3,4,5,1
1,6,5,4,3,5,2,5,3,4,5,6,1

1,7,6,5,4,7,3,5,7,2,7,5,3,7,4,5,6,7,1
1,8,7,6,5,4,7,3,8,5,7,2,7,5,8,3,7,4,5,6,7,8,1

What's remarkable is that I didn't know what a Farey sequence was until reading the comments for this puzzle. It keeps an "old dog" like me on his toes. Cheers!

Edited on November 1, 2005, 10:51 am

Edited on November 1, 2005, 10:51 am

Posted by Bob Smith on 2005-11-01 10:45:53

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